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A posteriori error estimates for a nonconforming finite element discretization of the heat equation

Serge NicaiseNadir Soualem — 2005

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

The paper presents an a posteriori error estimator for a (piecewise linear) nonconforming finite element approximation of the heat equation in d , d = 2 or 3, using backward Euler’s scheme. For this discretization, we derive a residual indicator, which use a spatial residual indicator based on the jumps of normal and tangential derivatives of the nonconforming approximation and a time residual indicator based on the jump of broken gradients at each time step. Lower and upper bounds form the main results...

error estimates for a nonconforming finite element discretization of the heat equation

Serge NicaiseNadir Soualem — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

The paper presents an error estimator for a (piecewise linear) nonconforming finite element approximation of the heat equation in d , or 3, using backward Euler's scheme. For this discretization, we derive a residual indicator, which use a spatial residual indicator based on the jumps of normal and tangential derivatives of the nonconforming approximation and a time residual indicator based on the jump of broken gradients at each time step. Lower and upper bounds form the main results with...

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